Answer:
24 is 4 times greater than 6 SO
the numerator should be 48 times 4 or 192
Step-by-step explanation:
Side of the cube = 4.2 cm
Estimating it to nearest ones = 4 cm
So, Its volume= s³ = (4)³= 64 cm³
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
What you have to do is multiply each of the sides so you have 80, 60, and 48.
Add those up to get 188. Then multiply this by 2 and you get 376.
Your answer is D. (376)
P.S if this helped you out, please give me brainliest if you don't mind. I am only a few more from leveling up :D
